87792148 has 24 divisors (see below), whose sum is σ = 163031400. Its totient is φ = 41223168.

The previous prime is 87792113. The next prime is 87792149. The reversal of 87792148 is 84129778.

It can be written as a sum of positive squares in 4 ways, for example, as 407044 + 87385104 = 638^2 + 9348^2 .

It is a super-2 number, since 2×87792148² = 15414922500907808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87792098 and 87792107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87792149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37558 + ... + 39826.

It is an arithmetic number, because the mean of its divisors is an integer number (6792975).

Almost surely, 2^87792148 is an apocalyptic number.

It is an amenable number.

87792148 is a deficient number, since it is larger than the sum of its proper divisors (75239252).

87792148 is a wasteful number, since it uses less digits than its factorization.

87792148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2857 counting only the distinct ones).

The product of its digits is 225792, while the sum is 46.

The square root of 87792148 is about 9369.7464213286. The cubic root of 87792148 is about 444.4455460436.

It can be divided in two parts, 877921 and 48, that added together give a square (877969 = 937²).

The spelling of 87792148 in words is "eighty-seven million, seven hundred ninety-two thousand, one hundred forty-eight".